# Full text of "Mathematical And Physical Papers - Iii"

## See other formats

```ON THE EFFECT OF THE INTERNAL FRICTION  OF  FLUIDS
Let m2________
1      12.22.3 m2       m
m6
m4 _      m
v    f72     r2.2'2.32.4 ,,     m4           m
+ ... = MM    .rr-o-ia' O*"Q«   ,-K---^
i2   r. 22. ™2o      ™6
T^""12.22.3
0, r>22   r.arsv
^4                      vrt8
+ ...=J
we «-...-^ ^-P^.VV-=^
m2
m6   ,
"12.22.32"
m8
I2.5
12   92   O*  ^
ci   ,        __ Ar '
2/b4 + ...~,iv,
(104):
then  substituting  in  (101), changing the  sign   of 7 - i,  and arranging the terms, we get
A-M^LN-l (i- j/(/)-.vL/- I

(105).
33.    Before going on with the calculation, it will lx» ivqui.sitr to know the numerical value of the transcendental  quantify A.
Now
-      log r(l +,)_,  for, -A,
and the value of d/ds . log T (1 + s)  may be  <(ot  a,i  <»nr<»   IV. im Legendre's table of the common logarithms of I' (I 4 ,s-), in which the interval of s is '001.    Putting ls for the tabular number ronv spending to 5, we have
js log r (1 + s) = 1000 log, 10 {AZ. - i A% + i AV. - J A V. \ . . . | .
?s = + 16050324,
%«-35f»,     AV, :
* These numbers are copied from De Morgan's Differential and fntt>,,rtli <'„!<•„, lus, p. 588.```